Q: What are the prime factors of the number 600,508?

 A: 2, 17, 8831

Why are those the prime factors of the number 600,508?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 600,508

600,508
Factor Arrows
2300,254
Factor Arrows
2150,127
Factor Arrows
178,831

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 17, 8831

We can check our work by multiplying all of the prime factors together: 2 x 2 x 17 x 8,831 = 600,508

This can also be written as 22 x 171 x 8,8311 = 600,508

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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